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Real Number Quiz

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
Write all names that apply to √5
a)
Irrational
b)
Rational
c)
Integer, rational
d)
whole, integer, rational
2.
Write all names that apply.
3/5
a)
Irrational
b)
rational
c)
integer, rational
d)
whole, integer, rational
3.
Write all names that apply.
4.2
a)
Irrational
b)
Rational
c)
integer, rational
d)
whole number, integer, rational
4.
Write all names that apply.
-7
a)
Whole, integer, rational
b)
integer, rational
c)
rational
d)
Irrational
5.
Estimate to the nearest tenth.
√7
a)
2.6
b)
2.3
c)
2.5
d)
2.35
6.
Estimate to the nearest tenth.
√30
a)
5.4
b)
5.5
c)
5.6
d)
5.3
7.
Explain the difference between rational and irrational.
a)
Rational numbers can not be written as fractions. Irrational numbers can be written as fractions.
b)
Rational numbers can be written as fractions. Irrational numbers can not be written as fractions.
c)
There is no difference between rational and irrational numbers.
8.

What is 0.333..... as a fraction?

a)

3/10

b)

1/3

c)

3/1

d)

3

9.

What is 5/6 as a decimal?

a)

5.6

b)

.56

c)

8.333...

d)

0.8333...

10.

What is 1/11 as a decimal?

a)

.111....

b)

1.11

c)

0.0909....

d)

0.999...

11.

Which fraction, when converted, is a repeating decimal?

a)

3/8

b)

11/25

c)

2/5

d)

5/7

12.

Which set of numbers does NOT contain zero?

a)

whole numbers

b)

natural numbers

c)

integers

d)

rational numbers

13.

Which of the following is an example of an integer ?

a)

98.3

b)

π

c)

-93

d)

0.5

14.

Which of the following all contain natural numbers?

a)

1,2,3,4,

b)

0,1,2,3,4

c)

-4,-3,-2,-1,0,1,2,3,4

d)

1.5, 33.3, 3

15.

π is an example of a/an...

a)

rational number

b)

real number

c)

whole number

d)

irrational number

16.

A repeating or terminating decimal is classified as ___________?

a)

rational, real

b)

integer, rational, real

c)

irrational, real

d)

whole, integer, irrational, real

17.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

18.

Is the fraction 1/12 a repeating or terminating decimal?

a)

Repeating

b)

Terminating

19.

Is the fraction 9/12 a repeating or terminating decimal?

a)

Repeating

b)

Terminating

20.
What do you call a decimal in which a pattern of one or more digits is repeated indefinitely?
a)
prime factor
b)
prime number
c)
repeating decimal
d)
terminating decimal
21.

Write the decimal equivalent to 9/20

a)

.45‾\overline{.45}

b)

.45

c)

.45‾.4\overline{5}

d)

.5

22.

Convert  58\frac{5}{8} to a decimal.

a)

5.8

b)

8.5

c)

.652

d)

.625

23.

The decimal expansion of  25\frac{2}{5}   is

a)

.4 and it terminates

b)

.4 and it repeats

c)

2.5 and it terminates

d)

2.5 and it repeats

24.

1/2 as a decimal is

a)

.25

b)

2

c)

.5

d)

.5‾.\overline{5}

25.

Identify the repeating decimals.
I.  –0. 353‾\overline{353}  
II.  3.611
III   –1.35555...
IV.  2.15
V.  7.7770

a)

I and III

b)

I, III, V

c)

II

d)

I

26.

If the decimal has a pattern and goes on forever it is called....

a)

terminating

b)

repeating

c)

infinity

d)

ending

27.

What is the decimal expansion of 7/9?

a)

.7‾\overline{.7}

b)

.6‾\overline{.6}

c)

.7

d)

.77

28.

The decimal expansion of 11/40 is

a)

terminating

b)

repeating

29.

Level 1: Between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

30.

Level 1: Between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

31.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

32.

Level 4: Estimate the square root to the nearest tenth.

a)

3.2

b)

3.1

c)

3.4

d)

3.0

33.

Level 4: Estimate the square root to the nearest tenth.

a)

1.7

b)

1.6

c)

1.8

d)

1.9

34.

Level 4

Order from least to greatest.

a)

√45, 9, 6, √63

b)

6, √45, √63, 9

c)

6, √45, 9, √63

d)

√45, √63, 6, 9

35.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
36.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
37.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
38.
Put in the symbol to make the statement true...
-17.5   _________ -√121
a)
>
b)
<
c)
=
39.
Which is the least:  0.06 or 0.060
a)
0.06
b)
They are equal.
c)
0.060
d)
Depends on the time of day.
40.
True or false? 
1.7 > √4
a)
True 
b)
False
41.
True or False? 
¼ < ½
a)
True
b)
False 
42.
True or False? 
2√9 > 3√9
a)
True 
b)
False
43.
2% as a decimal:
a)
0.02
b)
0.2
c)
2
d)
20
44.
200% as a decimal:
a)
2
b)
20
c)
200
d)
0.2
45.
Which number has a greater value?
a)
√3
b)
2
46.
Which number has a greater value?
a)
0.07
b)
0.7
47.
Which number has a greater value?
a)
-√5
b)
√5
48.

Which number is larger?

a)

-1.6

b)

16%

49.

0, 1, 2, 3 . . .

a)

natural numbers

b)

irrational numbers

c)

imaginary numbers

d)

whole numbers

50.

numbers that can be written as fractions

a)

non-terminating decimals

b)

irrational numbers

c)

real numbers

d)

rational numbers

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